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Simplifying 3x + 2[y + -1[3x + -1(z + -2y)] + z] + -2y = 0 Reorder the terms: 3x + 2[y + -1[3x + -1(-2y + z)] + z] + -2y = 0 3x + 2[y + -1[3x + (-2y * -1 + z * -1)] + z] + -2y = 0 3x + 2[y + -1[3x + (2y + -1z)] + z] + -2y = 0 3x + 2[y + [3x * -1 + 2y * -1 + -1z * -1] + z] + -2y = 0 3x + 2[y + [-3x + -2y + 1z] + z] + -2y = 0 Reorder the terms: 3x + 2[-3x + y + -2y + 1z + z] + -2y = 0 Combine like terms: y + -2y = -1y 3x + 2[-3x + -1y + 1z + z] + -2y = 0 Combine like terms: 1z + z = 2z 3x + 2[-3x + -1y + 2z] + -2y = 0 3x + [-3x * 2 + -1y * 2 + 2z * 2] + -2y = 0 3x + [-6x + -2y + 4z] + -2y = 0 Reorder the terms: 3x + -6x + -2y + -2y + 4z = 0 Combine like terms: 3x + -6x = -3x -3x + -2y + -2y + 4z = 0 Combine like terms: -2y + -2y = -4y -3x + -4y + 4z = 0 Solving -3x + -4y + 4z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4y' to each side of the equation. -3x + -4y + 4y + 4z = 0 + 4y Combine like terms: -4y + 4y = 0 -3x + 0 + 4z = 0 + 4y -3x + 4z = 0 + 4y Remove the zero: -3x + 4z = 4y Add '-4z' to each side of the equation. -3x + 4z + -4z = 4y + -4z Combine like terms: 4z + -4z = 0 -3x + 0 = 4y + -4z -3x = 4y + -4z Divide each side by '-3'. x = -1.333333333y + 1.333333333z Simplifying x = -1.333333333y + 1.333333333z
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